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Finding the Fourth Proportional to 11,023.76, 15,213.12 and 6,243.62

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Solution

The fourth proportional to 11,023.76, 15,213.12 and 6,243.62 is: 8,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023.76 : 15,213.12 = 6,243.62 : x
  2. Step 2: Convert to fraction form
    11,023.76/15,213.12 = 6,243.62/x
  3. Step 3: Cross multiply
    11,023.76x = 15,213.12 × 6,243.62
  4. Step 4: Simplify right side
    11,023.76x = 94,984,940.29
  5. Step 5: Solve for x
    x = 94,984,940.29/11,023.76
  6. Step 6: Final answer
    x = 8,616.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.